Diploma M1 Sample Question Paper (MCQ with Answers)
1. The logarithmic form of 34 = 81 is
a) log3 4 = 81 b) 𝐥𝐨𝐠𝟑 𝟖𝟏 = 𝟒 c) log81 3 = 4 d) log4 81 = 3
2. log3 27 + log3 9 = ___
a) 1 b) 3
3. log3(log8 2) c) 4 d) 5
a) 2 b) -1
c) 3 d) 8
4. = __
a) 0
b) 1 c) 𝑒𝑥 d) 𝑒2𝑥
5. If A= then, 2A – 3I = __.
a) b) c) d)
6. If 𝐴2∗3 and 𝐵3∗4 are the matrix then order of matrix AB __
a) 4*2 b) 2*4 c) 3*3 d) AB is not possible
7. If A= and B= then AB ___
a) b) c) d)
radian = __
a) 𝟒𝟎° b) 80°
9. 270° = __ radian c) 20° d) 10°
a) b) c) d)
. sin . sin 𝜋 = __
a) 1 b) 0 c) d)
11. Period of cos(3x + 5) = __
a) b) c) d)
12. If perimeter of a Square is 20cm then area of Square = __ 𝑐𝑚2
a)50 b)25 c) 40 d) 100
13. The area of a circle 154 𝑐𝑚2 the circumference = __ cm
a)44 b)48 c)49 d)51
14. If diameter of hemisphere is 6cm then volume = __ 𝑐𝑚2
a)3𝜋 b) 6𝜋 c) 9𝜋 d) 18𝜋
15. If A = , then co-factor of 3rd row are….
a) 4, -5, 1 b) -4, 5, -1 c) -4, 5, 1 d) 4, 5, -1
16. The inverse of the matrix A= is
a) b)
c) d)
= __
a) - b) c) 2 d) -2
18. log m – log n = __
a) log mn b) c) log 𝑛 d) log (m-n)
𝑚
19. 𝑙𝑜𝑔5 625 + 𝑙𝑜𝑔5 √5 = __
a) b) c) d)
a) -23 b) 23 c) 7 d) -7
21. If A= then adj A= __
a) b) c) d)
23. If A = then 3A = __
a) b) c) d)
23. If A= [1 2 3] , B= then AB = __
a) b) [-2] c) [1 0 -3] d) [2]
24. sin 135° = __
a) b) c) √2 d)−√2
25. 𝑠𝑖𝑛−1 x + 𝑐𝑜𝑠−1 x = __
a) b)2 c) d)𝜋
𝜋
26. Period of sin 3x =
a) b) c) 𝜋 d) 2 𝜋
27. sin 3A= __
a) 3sin A – 4 𝒔𝒊𝒏𝟑 𝑨 b) 4 𝑠𝑖𝑛3 A – 3 𝑠𝑖𝑛 𝐴
c) 4sin A – 3 𝑠𝑖𝑛4 𝐴 d) 3 𝑠𝑖𝑛4 A – 4 𝑠𝑖𝑛 𝐴 𝑚2
28. Volume of Sphere having radius r = __
a) b) c) d) 4π 𝑟2
29. Diameter of a circle is 28cm. Area of a Circle is __
a) 196 π 𝒄𝒎𝟐 b) 196 𝑐𝑚2 c) 28 π 𝑐𝑚2
30. Area of a square having perimeter 2m is __ cm2 d) 28 𝑐𝑚2
a) 1000 b) 2000 c) 2500 d) 5000
31. Distance between point A (5, 6, 7) and B (8, 4, 3) is
a) √27 b) √28 c) √𝟐𝟗 d) 29
32. The value of the determinant having two rows identical
a) 1 b) -1 c) 0 d) None of these
33. Which of the following is a non-singular matrix?
a) b) c) d) None of these
34. 𝑠𝑒𝑐−1 x + 𝑐𝑜𝑠𝑒𝑐−1 x = __
a) b) c) d) π
35. The number of terms in the expansion of ( 1 + 2x + 𝑥2 )20 is
a) 20 b) 21 c) 41 d) 40
36. If A = , the A’ is equal to
a) b) c) d)
is equal to
a)
38.In a triangle ABC, if a= 18, b=24, c=30, then the area of the triangle is __
a) 206 sq.unit b) 316 sq.unit c) 226 sq.unit d) 216 sq.unit
39. The distance between two points (-2, 3) and (3, 15) is
a) 11
b) 12 c) 13 d) None of these
40. If tan , what is the value of ?
a) 1 b) c) d)
is equal to
a) 2cosec A
b) 2sec A c) 2sin A d) 2 cos A
42. If tan then sin 𝜃 is
a) but not b) but not c) a) or d) None of these
43. In a ∆𝐴𝐵𝐶, a=15, b=36, c=39, then sin ) =__
a) b) c) d)
44. The ratio in which the line 3x + 4y + 2 = 0 divides the distance between the lines 3x + 4y + 5= 0 and 3x + 4y -5 = 0 is
a) 1:2 b) 3:7 c) 2:3 d) 2:5
45. The origin of statistics can be traced to
a)State b)Commerce c)Economics d) Industry
46. Statistics may be called the science of counting is the definition given by
a) Croxton b) A.L.Bowley c)Boddington d)Webster
48. The point of intersect of the co-ordinate axes is
a)Ordinate b) Abscissa c)Quadrant
49. The Abscissa and Ordinate the origin are d)Origin
a) (0,0) b) (1,0) c) (0,1) d) (1,1)
50. The measure of the angle between the coordinate axes is
a) 0 b) 90
c) 180 d)360